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ON THE PROBABILITY OF BEING A 2-ENGEL GROUP
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نویسنده
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عرفانیان احمد ,فرخی درخشان قوچان م.
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منبع
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international journal of group theory - 2013 - دوره : 2 - شماره : 4 - صفحه:31 -38
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چکیده
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Let g be a finite group and d2(g) denotes the probability that [x; y; y] = 1 for randomlychosen elements x; y of g. we will obtain lower and upper bounds for d2(g) in the case where the setseg(x) = fy 2 g : [y; x; x] = 1g are subgroups of g for all x 2 g. also the given examples illustratethat all the bounds are sharp.
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کلیدواژه
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Probability ,2-Engel condition ,3-metabelian
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آدرس
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ferdowsi university of mashhad, Department of Pure Mathematics and Centre of Excellence in Analysis on Algebraic Structures, Ferdowsi University of, ایران, ferdowsi university of mashhad, Department of Pure Mathematics, Ferdowsi University of Mashhad, P O Box 91775-1159, Mashhad, Iran, ایران
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پست الکترونیکی
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m.farrokhi.d.g@gmail.com
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Authors
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